Answer:
A. y + 1 = -2(x-2)
Step-by-step explanation:
point-slope equation is : y - y1 = m (x -x1)
remember m= slope value
the given point is (2, -1) therefore we can substitute the values in:
y + 1 = m(x -2)
now to make sure our answer is complete we will solve for the slope:
looking back at the graph, the y-intercept value is 3, therefore we have a point of (0,3) and (2, -1)
with any two points you can determine a slope.
y2 - y1 / x2 - x1
therefore :
-1 -3 / 2 - 0
-4 / 2 = -2
therefore our m value is -2
this makes the completed point-slope equation:
y + 1 = -2 (x - 2) or A
Answer:
$393.50+/-$19.72
= ( $373.78, $413.22)
Therefore, the 95% confidence interval (a,b) = ($373.78, $413.22)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = $393.50
Standard deviation r = $50.30
Number of samples n = 25
Confidence interval = 95%
z value(at 95% confidence) = 1.96
Substituting the values we have;
$393.50+/-1.96($50.30/√25)
$393.50+/-1.96($10.06)
$393.50+/-$19.7176
$393.50+/-$19.72
= ( $373.78, $413.22)
Therefore, the 95% confidence interval (a,b) = ($373.78, $413.22)
Answer:
The revenue for Granton location is 175 thousand dollars
Step-by-step explanation:
Given
Cedarton 121
Rimber 189
Linton 147
Mean = 158
Required
Revenue for Granton location.
To calculate the revenue for Granton location, we make use of mean formula.
Mean is calculated by Summation of Observation divided by number of observations.
Since Granton location is unknown; Let it be represented by letter G.
So, the summation of observation becomes 121 + 189 + 147 + G
Summation = 457 + G
The number of observations = 4
Recall that Mean = Summation ÷ Number
By substituting 158 for mean, 457 + G for summation and 4 for number, we have
158 = (457 + G) ÷ 4
158 = ¼(457 + G)
Multiply both sides by 4
4 * 158 = = 4 * ¼(457 + G)
632 = 457 + G
Make G the subject of formula
G = 632 - 457
G = 175
Hence, the revenue for Granton location is 175 thousand dollars
Further explanation:
We have to find the equation of the line first to graph the line.
The general form of slope-intercept form of equation of line is:
Given
Putting the value of slope in the equation
To find the value of b, putting the point (-3,5) in equation
Putting the values of b and m
The graph is made by using online graphing tool Desmos.
Keywords: Equation of line, graph of line
Learn more about graphs at:
#LearnwithBrainly
Incomple question. However, here's the remaining part of the question:
14
2009
Meadow Fritillary= 5
Variegated Fritillary= 7
Zebra Swallowtail= 33
Eastern-Tailed Blue= 242
Louden County Butterfly Count
2010
Meadow Fritillary 34
Variegated Fritillary 95
Zebra Swallowtail 21
Eastern-Tailed Blue 168
2011
Meadow Fritillary
Variegated Fritillary
Zebra Swallowtail
Eastern-Tailed Blue
10
170
<u>Options</u>:
A) All butterfly populations are steadily decreasing.
B)All butterfly populations were larger than usual in 2010.
C)The Eastern-Tailed Blue butterfly is more common than the others.
D)The Meadow Fritillary is equally common as the Variegated Fritillary
Answer:
<u>C</u>
Step-by-step explanation:
Looking through the above count data by Louden County Wildlife Conservancy from 2009 to 2011 we notice the Eastern- Trailed Blue butterfly has a higher count, which implies that the Eastern-Tailed Blue butterfly is more common than the other butterflies.
Therefore, we could infer from the samples, that the Eastern-Tailed Blue butterfly is more common than others from the records of the past 3 three years.
